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48820536 = 23332331317
BaseRepresentation
bin1011101000111…
…1000100111000
310101212100012000
42322033010320
544444224121
64502221000
71131652632
oct272170470
9111770160
1048820536
1125615656
1214424760
13a1645bb
1466aba52
154445526
hex2e8f138

48820536 has 128 divisors (see below), whose sum is σ = 146534400. Its totient is φ = 15016320.

The previous prime is 48820531. The next prime is 48820537. The reversal of 48820536 is 63502884.

48820536 = 7362 + 7372 + ... + 8162.

48820536 is a `hidden beast` number, since 48 + 82 + 0 + 536 = 666.

48820536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48820536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48820531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153850 + ... + 154166.

It is an arithmetic number, because the mean of its divisors is an integer number (1144800).

Almost surely, 248820536 is an apocalyptic number.

48820536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48820536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73267200).

48820536 is an abundant number, since it is smaller than the sum of its proper divisors (97713864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48820536 is a wasteful number, since it uses less digits than its factorization.

48820536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48820536 is about 6987.1693839494. The cubic root of 48820536 is about 365.4832805126.

The spelling of 48820536 in words is "forty-eight million, eight hundred twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 92 93 108 124 138 184 186 207 216 248 276 279 317 372 414 552 558 621 634 713 744 828 837 951 1116 1242 1268 1426 1656 1674 1902 2139 2232 2484 2536 2852 2853 3348 3804 4278 4968 5704 5706 6417 6696 7291 7608 8556 8559 9827 11412 12834 14582 17112 17118 19251 19654 21873 22824 25668 29164 29481 34236 38502 39308 43746 51336 58328 58962 65619 68472 77004 78616 87492 88443 117924 131238 154008 174984 176886 196857 226021 235848 262476 265329 353772 393714 452042 524952 530658 678063 707544 787428 904084 1061316 1356126 1574856 1808168 2034189 2122632 2712252 4068378 5424504 6102567 8136756 12205134 16273512 24410268 48820536